Young’s Modulus or Storage Modulus

Young’s modulus, or storage modulus, is a mechanical property that measures the stiffness of a solid material. It defines the relationship between stress and strain in a material in the linear elasticity region of a uniaxial deformation.

Calculation of Young’s Modulus:

where:
E is Young’s modulus
σ is the uniaxial stress
ε is the strain along the direction of the applied stress

Relationship between the Elastic Moduli

E = 2G(1+μ) = 3K(1+2μ)

where:
E is Young’s modulus
G is the shear modulus
K is the bulk modulus
μ is the Poisson number

The figure depicts a given uniaxial stress for tensile (extension, left) or pressure (compression, right). A material with low stiffness (red) provides a higher deformation than a material with high stiffness (blue). Young’s modulus is a measure of the stiffness.

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